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All-order different...
All-order differential equations for one-loop closed-string integrals and modular graph forms
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- Gerken, Jan E. (författare)
- Albert Einstein Inst, Max Planck Inst Gravitat Phys, DE-14476 Potsdam, Germany
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- Kleinschmidt, Axel (författare)
- Albert Einstein Inst, Max Planck Inst Gravitat Phys, DE-14476 Potsdam, Germany;ULB, Int Solvay Inst, Campus Plaine CP231, BE-1050 Brussels, Belgium
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- Schlotterer, Oliver (författare)
- Uppsala universitet,Teoretisk fysik
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(creator_code:org_t)
- SPRINGER, 2020
- 2020
- Engelska.
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Ingår i: Journal of High Energy Physics (JHEP). - : SPRINGER. - 1126-6708 .- 1029-8479. ; :1
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- We investigate generating functions for the integrals over world-sheet tori appearing in closed-string one-loop amplitudes of bosonic, heterotic and type-II theories. These closed-string integrals are shown to obey homogeneous and linear differential equations in the modular parameter of the torus. We spell out the first-order Cauchy-Riemann and second-order Laplace equations for the generating functions for any number of external states. The low-energy expansion of such torus integrals introduces infinite families of non-holomorphic modular forms known as modular graph forms. Our results generate homogeneous first- and second-order differential equations for arbitrary such modular graph forms and can be viewed as a step towards all-order low-energy expansions of closed-string integrals.
Ämnesord
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Nyckelord
- Scattering Amplitudes
- Superstrings and Heterotic Strings
- Conformal Field Models in String Theory
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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